Course detail

High Performance Computations

FIT-VNVAcad. year: 2010/2011

Not applicable.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. Ing. Jiří Kunovský, CSc.

Department

Department of Intelligent Systems (UITS)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Not applicable.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

Not applicable.

Specification of controlled education, way of implementation and compensation for absences

Not applicable.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Kunovský, J.: Modern Taylor Series Method, habilitation thesis, VUT Brno, 1995
Hairer, E., Norsett, S. P., Wanner, G.: Solving Ordinary Differential Equations I, vol. Nonstiff Problems. Springer-Verlag Berlin Heidelberg, 1987.
Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, vol. Stiff And Differential-Algebraic Problems. Springer-Verlag Berlin Heidelberg, 1996.
Press, W. H.: Numerical recipes : the art of scientific computing, Cambridge University Press, 2007
Vavřín, P.: Teorie automatického řízení I (Lineární spojité a diskrétní systémy). VUT, Brno, 1991. (CS)
Šebesta, V.: Systémy, procesy a signály I. VUTIUM, Brno, 2001.

Recommended reading

Vitásek, E.: Základy teorie numerických metod pro řešení diferenciálních rovnic. Academia, Praha 1994. (CS)
Přednášky ve formátu PDF (CS)
Zdrojové programy (TKSL, MATLAB, Simulink) jednotlivých počítačových cvičení (CS)
Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, vol. Stiff And Differential-Algebraic Problems. Springer-Verlag Berlin Heidelberg, 1996. (EN)
Lecture notes in PDF format (EN)
Source codes (TKSL, MATLAB) of all computer laboratories (EN)

Classification of course in study plans

  • Programme IT-MGR-2 Master's

    branch MBI , any year of study, summer semester, elective
    branch MPV , any year of study, summer semester, elective
    branch MGM , any year of study, summer semester, compulsory-optional
    branch MSK , any year of study, summer semester, elective
    branch MPS , any year of study, summer semester, elective
    branch MIS , any year of study, summer semester, elective
    branch MBS , any year of study, summer semester, elective
    branch MIN , any year of study, summer semester, compulsory-optional
    branch MMI , any year of study, summer semester, elective
    branch MMM , 1. year of study, summer semester, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

doc. Ing. Jiří Kunovský, CSc.

Syllabus

  1. Methodology of sequential and parallel computation (feedback stability of parallel computations)
  2. Extremely precise solutions of differential equations by the Taylor series method
  3. Parallel properties of the Taylor series method
  4. Basic programming of specialised parallel problems by methods using the calculus (close relationship of equation and block description)
  5. Parallel solutions of ordinary differential equations with constant coefficients, library subroutines for precise computations
  6. Adjunct differential operators and parallel solutions of differential equations with variable coefficients
  7. Methods of solution of large systems of algebraic equations by transforming them into ordinary differential equations
  8. The Bairstow method for finding the roots of high-order algebraic equations
  9. Fourier series and parallel FFT
  10. Simulation of electric circuits
  11. Solution of practical problems described by partial differential equations
  12. Control circuits
  13. Conception of the elementary processor of a specialised parallel computation system.

Exercise in computer lab

26 hours, optionally

Teacher / Lecturer

doc. Ing. Jiří Kunovský, CSc.

Syllabus

  1. Simulation system TKSL
  2. Exponential functions test examples
  3. First order homogenous differential equation
  4. Second order homogenous differential equation
  5. Time function generation
  6. Arbitrary variable function generation
  7. Adjoint differential operators
  8. Systems of linear algebraic equations
  9. Electronic circuits modeling
  10. Heat conduction equation
  11. Wave equation
  12. Laplace equation
  13. Control circuits